222k views
2 votes
WORK NEEDS TO BE SHOWNTranslate the following "11 less than the quotient of a number, n, and 5 is 9." Then find the value of n.

User NoahVerner
by
8.1k points

1 Answer

6 votes

The given statement is

"11 less than the quotient of a number, n, and 5 is 9."

To express this statement as an algebraic expression, we have to transform each part.

"a number" means the variable n.

"the quotient" means a fraction where n is the numerator and 5 is the denominator.

"is 9" means it's equal to 9.

"11 less" means we have to subtract 11 from the fraction.

Having said that, we express the following.


(n)/(5)-11=9

Now, we solve for n


\begin{gathered} (n)/(5)=9+11 \\ (n)/(5)=20 \\ n=20\cdot5 \\ n=100 \end{gathered}

Therefore, n is 100.

User Magnus Lindhe
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories